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- W2071031811 abstract "Using modifications of the well-known construction of “double-arrow” space we give consistent examples of nonfragmentable compact Hausdorff spaces which belong to Stegall's class S. Namely the following is proved. (1) If ℵ1 is less than the least inaccessible cardinal in L and MA&¬CH hold then there is a nonfragmentable compact Hausdorff space K such that every minimal usco mapping of a Baire space into K is singlevalued at points of a residual set. (2) If V=L then there is a nonfragmentable compact Hausdorff space K such that every minimal usco mapping of a completely regular Baire space into K is singlevalued at points of a residual set." @default.
- W2071031811 created "2016-06-24" @default.
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- W2071031811 date "1999-09-01" @default.
- W2071031811 modified "2023-09-26" @default.
- W2071031811 title "Stegall compact spaces which are not fragmentable" @default.
- W2071031811 doi "https://doi.org/10.1016/s0166-8641(98)00045-5" @default.
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